Two neighbouring gate-defined silicon spin qubits are coupled by an exchange…

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Quantum Information & Technology · Physical realizations and quantum technologies

Quantum Information and Technology, Ch Trapped ions, neutral atoms, photons, NMR and spins in solids

Problem

Two neighbouring gate-defined silicon spin qubits are coupled by an exchange interaction of strength

J

, with

J/h = 20\,\mathrm{MHz}

. Switching on the exchange coupling drives coherent oscillation between the two-spin states

|01\rangle

and

|10\rangle

with period

T = h/J

. An entangling two-qubit gate (

\sqrt{\mathrm{SWAP}}

) is implemented by holding the exchange pulse on for one quarter of this period. ((a)) Find the oscillation period

T

. ((b)) Find the gate time for the

\sqrt{\mathrm{SWAP}}

operation.

Related theory

Quantum Mechanics

Browse the problem library